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New tests of the correspondence between unitary eigenvalues and the zeros of Riemann’s zeta function
Statistical tests random unitary matrix Riemann zeta function data set
2015/7/14
This paper presents some new statistical tests and new conjectures regarding
the correspondence between the eigenvalues of random unitary matrices and
the zeros of Riemann’s zeta function. Global fe...
Linear Functionals of Eigenvalues of Random Matrices
Random unitary matrix the calculation function
2015/7/14
.L.et 1% be a random r~x r~unitary matrix with distribution given
by Haar measure on the unitary group. Using explicit monlerlt calculations,
a general criterion is given for linear cornbinations of...
PATTERNS IN EIGENVALUES: THE 70TH JOSIAH WILLARD GIBBS LECTURE
Unitary matrix value distribution patterns telephone encryption function
2015/7/8
Typical large unitary matrices show remarkable patterns in their eigenvalue distribution. These same patterns appear in telephone encryption, the zeros of Riemann's zeta function, a variety of physics...
Eigenvalues and eigenfunctions of the Laplacian via inverse iteration with shift
Eigenvalues and eigenfunctions the Laplacian
2010/11/19
In this paper we present an iterative method inspired by the inverse iteration with shift technique of finite linear algebra designed to find the eigenvalues and eigenfunctions of the Laplacian with h...
PRESCRIBING THE SYMMETRIC FUNCTION OF THE EIGENVALUES OF THE SCHOUTEN TENSOR
PRESCRIBING THE SYMMETRIC FUNCTION EIGENVALUES SCHOUTEN TENSOR
2018/4/19
In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with boundary. We prov...